Help with delta-epsilon notation

[PvtBillPilgrim3]

Homework Statement

For a given epsilon e > 0, I need to find a delta d such that for all x, abs(x) < d:

abs([(x^2 - x + 1)/(x+1)] - 1) < e

Homework Equations

The Attempt at a Solution

I get the absolute value of:
x^2 - 2x
--------, which is less than or equal to the absolute value of
x + 1

x^2 - 2x
--------, which equals the absolute value
x

x-2, which is less than or equal to

abs(x) + 2.

How do I then find the delta for this and is this right?

 

[zhentil]

I don't think your equation is correct. Once it's corrected, pretend the singularity doesn't exist, and the same delta should work.